20,555 research outputs found

    Some Results on the Weight Structure of Cyclic Codes of Composite Length

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    In this work we investigate the weight structure of cyclic codes of composite length n = n1n2, where n1 and n2 are relatively prime. The actual minimum distances of some classes of binary cyclic codes of composite length are derived. For other classes new lower bounds on the minimum distance are obtained. These new lower bounds improve on the BCH bound for a considerable number of binary cyclic codes

    A Study on the Impact of Locality in the Decoding of Binary Cyclic Codes

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    In this paper, we study the impact of locality on the decoding of binary cyclic codes under two approaches, namely ordered statistics decoding (OSD) and trellis decoding. Given a binary cyclic code having locality or availability, we suitably modify the OSD to obtain gains in terms of the Signal-To-Noise ratio, for a given reliability and essentially the same level of decoder complexity. With regard to trellis decoding, we show that careful introduction of locality results in the creation of cyclic subcodes having lower maximum state complexity. We also present a simple upper-bounding technique on the state complexity profile, based on the zeros of the code. Finally, it is shown how the decoding speed can be significantly increased in the presence of locality, in the moderate-to-high SNR regime, by making use of a quick-look decoder that often returns the ML codeword.Comment: Extended version of a paper submitted to ISIT 201

    Cob Property Analysis

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    The goal of this project was to research the material properties of the green building material COB in order to better understand how to apply COB in real world applications. The research portion included soil analysis, compression, modulus of rupture and elasticity tests, hydrometer analysis, and atterberg limits tests. Additionally, through a partnership with the professionals of the COB Research Institute team and another COB-centric senior design group, this team was able to produce the first full-scale wall tests for COB. Four 7-foot walls were constructed and in-plane lateral cyclic loading was applied to create the effects of a COB structure under lateral loading. The results of the full-scale tests are in the process of being incorporated in the entry for COB into the California Residential Code, with a recommendation given for the reinforcing design that performed the best, through allowable load and deflection calculations. Finally, the team used a sample footprint for a simple house to develop structural house components for a COB structure that could benefit COB application in the real world. The simulated application of COB is helping the COB Research Institute formulate their submittal and ultimately provide a jumping off point for further research of this nature. The ultimate goal was to spread awareness of sustainable building practices and make them more accessible to the general public
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